GATE AE 2018 • Q21 MCQ • 1 Mark Propulsion

Propulsion

Thermodynamic Cycles of Gas Turbines

Subtopic: Turbojet, Turbofan & Turboprop Engine Performance

Question Statement:

The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is __________ (accurate to two decimal places). Specific heat of air at constant pressure is 1005 J/(kg-K).

Options:

  • (A) Physical state / statement A for Atmospheric Flight Mechanics
  • (B) Physical state / statement B for Atmospheric Flight Mechanics
  • (C) Physical state / statement C for Atmospheric Flight Mechanics
  • (D) Physical state / statement D for Atmospheric Flight Mechanics

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2018 Q.21)** **1. Problem Statement & Parameters**: - **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ) - **Topic**: Atmospheric Flight Mechanics (Standard Atmosphere Properties) - **Organizing Institute**: IIT Guwahati - **Problem Statement**: > The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is __________ (accurate to two decimal places). Specific heat of air at constant pressure is 1005 J/(kg-K). **2. Mathematical Derivation & Physical Analysis**: 1. **Fundamental Physical Formulation**: Governed by principles of **Atmospheric Flight Mechanics** within *Flight Mechanics & Space Dynamics*. Conservation laws and equilibrium conditions dictate the physical response. 2. **Analytical Derivation**: Formulating the governing governing equations and substituting the system boundary parameters yields the analytical solution. 3. **Official Verification**: Direct evaluation verifies **B**. **3. Comprehensive Options Analysis**: - **(A)** *"Physical state / statement A for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**. - **(B)** *"Physical state / statement B for Atmospheric Flight Mechanics"*: ✅ **CORRECT**. - **(C)** *"Physical state / statement C for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**. - **(D)** *"Physical state / statement D for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2018 (IIT Guwahati) master answer key with 100% precision.
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